Select the correct answer.

Mathematics

1 answer:

Sauron [17]2 years ago

8 0

Answer:

D. addition property of inequality

Step-by-step explanation:

Michael uses addition to move -8 from one side to the other.

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Translate to an algebraic statement. "The quotient of twice a number and 7 is 20."

Genrish500 [490]

Answer:

Translation: 2x/7 = 20

Step-by-step explanation:

When we listen to the word "quotient", it means the solution to a division problem.
An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement.
The number "7" is in the denominator because it came after the 2x in the statement.
The word "is" represents an equal sign.
The solution to the division problem (quotient) is 20.

If we put these clues together, we get 2x/7 = 20 as our translated equation.

Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. 

$BrainiacUser1357$

4 0

2 years ago

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).